11205320 has 48 divisors (see below), whose sum is σ = 29333340. Its totient is φ = 3841152.

The previous prime is 11205289. The next prime is 11205323. The reversal of 11205320 is 2350211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11195716 + 9604 = 3346^2 + 98^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11205295 and 11205304.

It is not an unprimeable number, because it can be changed into a prime (11205323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 899 + ... + 4818.

Almost surely, 2^11205320 is an apocalyptic number.

11205320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205320 is an abundant number, since it is smaller than the sum of its proper divisors (18128020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11205320 is a wasteful number, since it uses less digits than its factorization.

11205320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11205320 is about 3347.4348387982. The cubic root of 11205320 is about 223.7732079586.

Adding to 11205320 its reverse (2350211), we get a palindrome (13555531).

The spelling of 11205320 in words is "eleven million, two hundred five thousand, three hundred twenty".